Landau-Zener tunneling in 2D periodic structures in the presence of a gauge field I: Tunneling rates

Abstract

We study the interband Landau-Zener tunneling of a quantum particle in the Hall configuration, i.e., in the presence of normal to the lattice plane gauge field (for example, magnetic field for a charged particle) and in-plane potential field (electric field for a charged particle). The interband tunneling is induced by the potential field and for vanishing gauge field is described by the common Landau-Zener theory. We generalize this theory for non-zero gauge field. The depletion rates of low-energy bands are calculated by using semi-analytical method of the truncated Floquet matrix.

14 pages, 4 figures

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Cited by in corpus (3)

• Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric flat band lattice
• Landau-Zener tunneling in 2D periodic structures in the presence of a gauge field II: Electric breakdown
• Zitterbewegung with spin-orbit coupled ultracold atoms in a fluctuating optical lattice